What is the Greatest Common Factor of 36128 and 36140?

Greatest common factor (GCF) of 36128 and 36140 is 4.

GCF(36128,36140) = 4

We will now calculate the prime factors of 36128 and 36140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36128 and 36140.

How to find the GCF of 36128 and 36140?

We will first find the prime factorization of 36128 and 36140. After we will calculate the factors of 36128 and 36140 and find the biggest common factor number .

Step-1: Prime Factorization of 36128

Prime factors of 36128 are 2, 1129. Prime factorization of 36128 in exponential form is:

36128 = 2⁵ × 1129¹

Step-2: Prime Factorization of 36140

Prime factors of 36140 are 2, 5, 13, 139. Prime factorization of 36140 in exponential form is:

36140 = 2² × 5¹ × 13¹ × 139¹

Step-3: Factors of 36128

List of positive integer factors of 36128 that divides 36128 without a remainder.

1, 2, 4, 8, 16, 32, 1129, 2258, 4516, 9032, 18064

Step-4: Factors of 36140

List of positive integer factors of 36140 that divides 36128 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 139, 260, 278, 556, 695, 1390, 1807, 2780, 3614, 7228, 9035, 18070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36128 and 36140. The biggest common factor number is the GCF number.
So the greatest common factor 36128 and 36140 is 4.

Also check out the Least Common Multiple of 36128 and 36140